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Finding the Fourth Proportional to 450.46, 673.06 and 440.74

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Solution

The fourth proportional to 450.46, 673.06 and 440.74 is: 658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.46 : 673.06 = 440.74 : x
  2. Step 2: Convert to fraction form
    450.46/673.06 = 440.74/x
  3. Step 3: Cross multiply
    450.46x = 673.06 × 440.74
  4. Step 4: Simplify right side
    450.46x = 296,645.03
  5. Step 5: Solve for x
    x = 296,645.03/450.46
  6. Step 6: Final answer
    x = 658.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.